A man purchased a cycle for Rs. 3,000/- and agreed to pay 12% on the amount as interest. He repaid principal and interest in 12 equal monthly installments. Find the amount of each installment.
This problem involves calculating simple interest on a principal amount and then distributing the total amount (principal + interest) into equal monthly installments. We will first calculate the total interest, add it to the principal to get the total amount to be paid, and then divide this total by the number of installments.
Identify the given values:
Calculate the Simple Interest (SI):
The formula for simple interest is:
\[ \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} \]\[ \text{SI} = \frac{3000 \times 12 \times 1}{100} \]\[ \text{SI} = 30 \times 12 \]\[ \text{SI} = \text{Rs. } 360 \]Calculate the Total Amount to be paid:
Total Amount = Principal + Simple Interest
\[ \text{Total Amount} = 3000 + 360 \]\[ \text{Total Amount} = \text{Rs. } 3360 \]Calculate the amount of each installment:
The total amount is to be repaid in 12 equal monthly installments.
Amount of each installment = Total Amount / Number of installments
\[ \text{Amount of each installment} = \frac{3360}{12} \]\[ \text{Amount of each installment} = \text{Rs. } 280 \]Correct Option: C) Rs. 280
The political system in Afghanistan is known as (as of 2016)
Islamic State of Afghanistan
Islamic Emirate of Afghanistan
Islamic Republic of Afghanistan
Islamic Government of Afghanistan
The question asks about the official name of the political system in Afghanistan as of 2016. This requires knowledge of the country's political history and governmental structure during that specific period.
Correct Option: C) Islamic Republic of Afghanistan
This is a coding-decoding problem where words are assigned specific codes. To find the code for 'hate', we need to compare the given sentences and identify common words and their corresponding common codes.
Correct Option: C) vi is the code for 'hate'.
Pointing to K, M said that she was the daughter of the only son of his grandfather. How M is related to K?
This is a blood relation problem. We need to deduce the relationship between M and K based on the statement made by M. We will break down the statement into smaller parts to identify the individuals and their relationships.
Therefore, M is related to K as a sibling, and specifically, K is M's sister.
D) Sister — As deduced, K is the daughter of M's father, making her M's sister.
To find the mean value of a set of numbers, we need to sum all the numbers and then divide the sum by the total count of numbers. This is the definition of the arithmetic mean.
Correct Option: A) 4.17 is the correct mean value calculated by summing the numbers and dividing by their count.
Who won majority of the men's singles tennis grand slam tournaments in 2015?
Andy Murray
Novak Djokovic
Roger Federer
Stanislas Wawrinka
The question asks about the player who won the majority of men's singles Grand Slam tournaments in 2015. To answer this, we need to recall the winners of each of the four Grand Slams (Australian Open, French Open, Wimbledon, US Open) in that specific year and identify which player won the most.
B) Novak Djokovic won the Australian Open, Wimbledon, and the US Open in 2015, securing 3 out of the 4 Grand Slam titles. This is the majority.
K agreed to borrow a sum of money at a certain rate of interest per year. But the lender increased the rate by 3%, due to which he had to pay Rs. 120 more (extra interest). Find the principal amount.
This problem involves simple interest. The key idea is that the extra interest paid is solely due to the increase in the interest rate. We can use the simple interest formula to relate the principal amount, the change in rate, and the extra interest paid.
Let the principal amount be \(P\).
Let the original rate of interest be \(R\%\) per year.
Let the time period be \(T\) years. Since the problem doesn't specify a time period, we assume it's for 1 year, as is common in such problems unless stated otherwise. If it were for multiple years, the extra interest would be proportional to the number of years.
The lender increased the rate by 3%. So, the new rate is \((R+3)\%\) per year.
The extra interest paid is Rs. 120.
The formula for simple interest is:
\[ \text{Simple Interest} = \frac{P \times R \times T}{100} \]The extra interest is due to the 3% increase in the rate. So, we can write the extra interest as:
\[ \text{Extra Interest} = \frac{P \times (\text{Change in Rate}) \times T}{100} \]Substitute the given values into the formula:
\[ 120 = \frac{P \times 3 \times 1}{100} \]Now, solve for \(P\):
\[ 120 = \frac{3P}{100} \]\[ 3P = 120 \times 100 \]\[ 3P = 12000 \]\[ P = \frac{12000}{3} \]\[ P = 4000 \]Therefore, the principal amount is Rs. 4,000.
A) Rs. 4,000 — This is the principal amount calculated based on the extra interest paid due to the 3% increase in the interest rate.
If CABINET = EIACBTN, then COMPUTE = _______.
The problem presents a coding-decoding puzzle. We need to identify the pattern used to transform "CABINET" into "EIACBTN" and then apply the same pattern to transform "COMPUTE".
Let's assign positions to the letters in CABINET:
C (1) A (2) B (3) I (4) N (5) E (6) T (7)
Now let's see where these letters appear in EIACBTN:
The new sequence of original positions is 6, 4, 2, 1, 3, 7, 5.
This pattern rearranges the letters based on their original positions.
First, assign positions to the letters in COMPUTE:
C (1) O (2) M (3) P (4) U (5) T (6) E (7)
Now, apply the position sequence (6, 4, 2, 1, 3, 7, 5) to these letters:
Combining these letters in order gives TPOCMEU.
Correct Option: B) TPOCMEU
The Constituent Assembly adopted Indian national flag on
22nd July 1947
22nd August 1947
22nd January 1948
22nd October 1947
The question asks for the date on which the Constituent Assembly adopted the Indian National Flag. This is a factual question related to the historical events surrounding the formation of the Indian Constitution and national symbols.
A) 22nd July 1947 — The Constituent Assembly of India adopted the National Flag (Tiranga) on 22nd July 1947, a few weeks before India's independence from British rule on 15th August 1947. This decision was crucial in establishing one of the most important national symbols.
The question asks about the substance produced when milk sours. This is a common biological and chemical process related to food spoilage, specifically involving bacterial action on milk sugar.
B) Lactic acid is the substance produced when bacteria ferment lactose in milk, leading to its souring.